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Chapter 5: Q. 9 (page 417)
For each function u(x) in Exercises 9鈥�12, write the differential du in terms of the differential dx.
The differential du in terms of the differential dxis .
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Solve the integral:.
For each integral in Exercises 5鈥�8, write down three integrals that will have that form after a substitution of variables.
Solve given integrals by using polynomial long division to rewrite the integrand. This is one way that you can sometimes avoid using trigonometric substitution; moreover, sometimes it works when trigonometric substitution does not apply.
dx
Describe two ways in which the long-division algorithm for polynomials is similar to the long-division algorithm for integers and then two ways in which the two algorithms are different.
Solve given integrals by using polynomial long division to rewrite the integrand. This is one way that you can sometimes avoid using trigonometric substitution; moreover, sometimes it works when trigonometric substitution does not apply.
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